Positive Solutions of Annular Elastic Membrane Problems with Finite Rotations

DOI10.1002/SAPM1987773223zbMath0644.73045OpenAlexW2553155564MaRDI QIDQ3787588

Robert Pirner, Hans Grabmüller

Publication date: 1987

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1987773223

zbMATH Keywords

existencenonexistenceintegral equation techniqueaxisymmetric deformationsFöppl-Hencky small finite deflection theorypositive regular solutionsannular elastic membrane problemsnormal surface loadSimmonds- Libai simplified Reissner equations of finite rotations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (5)

On shells of revolution with the Love-Kirchhoff hypotheses ⋮ Existence theorems for some boundary value problems in the nonlinear theory of annular elastic membranes ⋮ Recent mathematical results in the nonlinear theory of flat and curved elastic membranes of revolution ⋮ Wrinkle-free solutions of circular membrane problems ⋮ Wrinkle-free solutions in the theory of curved circular membranes

Cites Work

• Finite displacements of annular elastic membranes
• Rigorous expunction of Poisson's ratio from the Reissner-Meissner equations
• Nonlinear boundary value problems for the annular membrane: A note on uniqueness of positive solutions

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